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<title>Problem 2318. -- Spoj4060  game with probability Problem -- 衡阳八中OJ离线版-2012-02-29</title><center><h2>2318: Spoj4060  game with probability Problem</h2><span class=green>Time Limit: </span>1 Sec&nbsp;&nbsp;<span class=green>Memory Limit: </span>128 MB<br><span class=green>Submit: </span>73&nbsp;&nbsp;<span class=green>Solved: </span>18<br>[<a href='submitpage.php?id=2318'>Submit</a>][<a href='problemstatus.php?id=2318'>Status</a>][<a href='bbs.php?id=2318'>Discuss</a>]</center><h2>Description</h2><div class=content><p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; text-indent: 24pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">Alice<font face="宋体">和</font><font face="Calibri">Bob</font><font face="宋体">在玩一个游戏。有</font><font face="Calibri">n</font><font face="宋体">个石子在这里，</font><font face="Calibri">Alice</font><font face="宋体">和</font><font face="Calibri">Bob</font><font face="宋体">轮流投掷硬币，如果正面朝上，则从</font><font face="Calibri">n</font><font face="宋体">个石子中取出一个石子，否则不做任何事。取到最后一颗石子的人胜利。</font><font face="Calibri">Alice</font><font face="宋体">在投掷硬币时有</font><font face="Calibri">p</font><font face="宋体">的概率投掷出他想投的一面，同样，</font><font face="Calibri">Bob</font><font face="宋体">有</font><font face="Calibri">q</font><font face="宋体">的概率投掷出他相投的一面。</font></span><span style="font-size: 12pt; font-family: 'Calibri'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; text-indent: 24pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">现在<font face="Calibri">Alice</font><font face="宋体">先手投掷硬币，假设他们都想赢得游戏，问你</font><font face="Calibri">Alice</font><font face="宋体">胜利的概率为多少。</font></span><span style="font-size: 12pt; font-family: 'Calibri'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 12pt; font-family: 'Calibri'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; text-indent: 24pt"><span style="font-size: 12pt; font-family: 'Calibri'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<!--EndFragment--></div><h2>Input</h2><div class=content><p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; text-indent: 24pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">第一行一个正整数<font face="Calibri">t</font><font face="宋体">，表示数据组数。</font></span><span style="font-size: 12pt; font-family: 'Calibri'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; text-indent: 24pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">对于每组数据，一行三个数<font face="Calibri">n</font><font face="宋体">，</font><font face="Calibri">p</font><font face="宋体">，</font><font face="Calibri">q</font><font face="宋体">。</font></span><span style="font-size: 12pt; font-family: 'Calibri'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 12pt; font-family: 'Calibri'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; text-indent: 24pt"><span style="font-size: 12pt; font-family: 'Calibri'; mso-spacerun: 'yes'"><o:p></o:p></span></p></div><h2>Output</h2><div class=content><p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; text-indent: 24pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">对于每组数据输出一行一个实数，表示<font face="Calibri">Alice</font><font face="宋体">胜利的概率，保留</font><font face="Calibri">6</font><font face="宋体">位小数。</font></span><span style="font-size: 12pt; font-family: 'Calibri'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 12pt; font-family: 'Calibri'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; text-indent: 21pt"><span style="font-size: 12pt; font-family: 'Calibri'; mso-spacerun: 'yes'"><o:p></o:p></span></p></div><h2>Sample Input</h2>
			<div class=content><span class=sampledata>1<br />
<br />
1 0.5 0.5<br />
<br />
<br />
</span></div><h2>Sample Output</h2>
			<div class=content><span class=sampledata>0.666667<br />
<br />
<br />
</span></div><h2>HINT</h2>
			<div class=content><p><p>数据范围：</p><br />
<p>1&lt;=t&lt;=50</p><br />
<p>0.5&lt;=p,q&lt;=0.99999999</p><br />
<p>对于100%的数据 1&lt;=n&lt;=99999999<br /><br />
</p></p></div><h2>Source</h2>
			<div class=content><p><a href='problemset.html?search='></a></p></div><center>[<a href='submitpage.php?id=2318'>Submit</a>][<a href='problemstatus.php?id=2318'>Status</a>][<a href='bbs.php?id=2318'>Discuss</a>]</center>﻿<br>

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